{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,4,4]],"date-time":"2022-04-04T06:58:36Z","timestamp":1649055516628},"reference-count":34,"publisher":"Springer Science and Business Media LLC","issue":"2","license":[{"start":{"date-parts":[[2013,10,19]],"date-time":"2013-10-19T00:00:00Z","timestamp":1382140800000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Quantum Inf Process"],"published-print":{"date-parts":[[2014,2]]},"DOI":"10.1007\/s11128-013-0648-z","type":"journal-article","created":{"date-parts":[[2013,10,18]],"date-time":"2013-10-18T10:43:10Z","timestamp":1382092990000},"page":"273-282","source":"Crossref","is-referenced-by-count":2,"title":["The topological basis realization and the corresponding Heisenberg model of spin-1 chain"],"prefix":"10.1007","volume":"13","author":[{"given":"Taotao","family":"Hu","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Hang","family":"Ren","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Kang","family":"Xue","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2013,10,19]]},"reference":[{"key":"648_CR1","doi-asserted-by":"crossref","unstructured":"Sun, C.F., Xue, K., Wang, G.C., Zhou, C.C., Du, G.J.: The topological basis realization and the corresponding Heisenberg model spin chain. EPL 94, 50001 (2011)","DOI":"10.1209\/0295-5075\/94\/50001"},{"key":"648_CR2","doi-asserted-by":"crossref","first-page":"205","DOI":"10.1007\/BF01341708","volume":"71","author":"H Bethe","year":"1931","unstructured":"Bethe, H.: Zur theorie der metalle. Z. Phys. 71, 205 (1931)","journal-title":"Z. Phys."},{"key":"648_CR3","first-page":"1","volume":"26","author":"L Hulthen","year":"1939","unstructured":"Hulthen, L.: Ark. Mat. Astron. Fys. A 26, 1 (1939)","journal-title":"Ark. Mat. Astron. Fys. A"},{"key":"648_CR4","doi-asserted-by":"crossref","first-page":"241","DOI":"10.1007\/BF01087245","volume":"24","author":"L Faddeev","year":"1984","unstructured":"Faddeev, L., Takhtajan, L.: Spectrum and scattering of excitations in the one-dimensional isotropic Heisenberg model. J. Sov. Math. 24, 241 (1984)","journal-title":"J. Sov. Math."},{"key":"648_CR5","doi-asserted-by":"crossref","first-page":"052105","DOI":"10.1103\/PhysRevA.74.052105","volume":"74","author":"A Abliz","year":"2006","unstructured":"Abliz, A., Gao, H.J., Xie, X.C., Wu, Y.S., Liu, W.M.: Entanglement control in an anisotropic two-qubit Heisenberg XYZ model with external magnetic fields. Phys. Rev. A 74, 052105 (2006)","journal-title":"Phys. Rev. A"},{"key":"648_CR6","doi-asserted-by":"crossref","first-page":"024303","DOI":"10.1103\/PhysRevA.79.024303","volume":"79","author":"ZG Li","year":"2009","unstructured":"Li, Z.G., Fei, S.M., Wang, Z.D., Liu, W.M.: Evolution equation of entanglement for bipartite systems. Phys. Rev. A 79, 024303 (2009)","journal-title":"Phys. Rev. A"},{"key":"648_CR7","doi-asserted-by":"crossref","first-page":"251","DOI":"10.1098\/rspa.1971.0067","volume":"322","author":"HNV Temperley","year":"1971","unstructured":"Temperley, H.N.V., Lieb, E.H.: Relations between the \u2019percolation\u2019 and \u2019colouring\u2019 problem and other graph-theoretical problems associated with regular planar lattices: some exact results for the \u2019percolation\u2019 problem. Proc. R. Soc. London, Ser. A 322, 251 (1971)","journal-title":"Proc. R. Soc. London, Ser. A"},{"key":"648_CR8","doi-asserted-by":"crossref","first-page":"247","DOI":"10.1016\/0370-1573(89)90123-3","volume":"180","author":"M Wadati","year":"1989","unstructured":"Wadati, M., Deguchi, T., Akutsu, Y.: Exactly solvable models and knot theory. Phys. Rep. 180, 247 (1989)","journal-title":"Phys. Rep."},{"key":"648_CR9","doi-asserted-by":"crossref","first-page":"1093","DOI":"10.1007\/BF01017562","volume":"49","author":"AL Owczarek","year":"1987","unstructured":"Owczarek, A.L., Baxter, R.J.: A class of interaction-round-a-face models and its equivalence with an ice-type model. J. Stat. Phys. 49, 1093 (1987)","journal-title":"J. Stat. Phys."},{"key":"648_CR10","doi-asserted-by":"crossref","first-page":"162","DOI":"10.1016\/0550-3213(87)90332-4","volume":"285","author":"V Pasquier","year":"1987","unstructured":"Pasquier, V.: Two-dimensional critical systems labelled by Dynkin diagrams. Nucl. Phys. B 285, 162 (1987)","journal-title":"Nucl. Phys. B"},{"key":"648_CR11","doi-asserted-by":"crossref","first-page":"L1229","DOI":"10.1088\/0305-4470\/20\/18\/003","volume":"20","author":"V Pasquier","year":"1987","unstructured":"Pasquier, V.: Lattice derivation of modular invariant partition functions on the torus. J. Phys. A 20, L1229 (1987)","journal-title":"J. Phys. A"},{"key":"648_CR12","doi-asserted-by":"crossref","first-page":"193","DOI":"10.1007\/BF01014383","volume":"35","author":"GE Andrews","year":"1984","unstructured":"Andrews, G.E., Baxter, R.J., Forrester, P.J.: Eight-vertex SOS model and generalized Rogers\u2013Ramanujan-type identities. J. Stat. Phys. 35, 193 (1984)","journal-title":"J. Stat. Phys."},{"key":"648_CR13","doi-asserted-by":"crossref","first-page":"815","DOI":"10.1209\/0295-5075\/9\/8\/013","volume":"9","author":"A Kl\u00fcmper","year":"1989","unstructured":"Kl\u00fcmper, A.: New results for q-state vertex models and the pure biquadratic spin-1 Hamiltonian. Europhys. Lett. 9, 815 (1989)","journal-title":"Europhys. Lett."},{"key":"648_CR14","doi-asserted-by":"crossref","first-page":"L489","DOI":"10.1088\/0305-4470\/36\/38\/101","volume":"36","author":"PP Kulish","year":"2003","unstructured":"Kulish, P.P.: On spin systems related to the Temperley-Lieb algebra. J. Phys. A: Math. Gen. 36, L489 (2003)","journal-title":"J. Phys. A: Math. Gen."},{"key":"648_CR15","doi-asserted-by":"crossref","unstructured":"Parkinson, J.B.: On the integrability of the S $$=$$ = 1 quantum spin chain with pure biquadratic exchange. J. Phys. C: Solid State Phys. 20, L1029 (1987)","DOI":"10.1088\/0022-3719\/20\/36\/011"},{"key":"648_CR16","doi-asserted-by":"crossref","unstructured":"Parkinson, J.B.: The S $$=$$ = 1 quantum spin chain with pure biquadratic exchange. J. Phys. C: Solid State Phys. 21, 3793 (1988)","DOI":"10.1088\/0022-3719\/21\/20\/014"},{"key":"648_CR17","doi-asserted-by":"crossref","unstructured":"Parkinson, J.B.: J. Phys. (Paris), Colloq., 49(C8), 1413 (1988)","DOI":"10.1051\/jphyscol:19888649"},{"key":"648_CR18","doi-asserted-by":"crossref","first-page":"4621","DOI":"10.1103\/PhysRevB.40.4621","volume":"40","author":"M Barber","year":"1989","unstructured":"Barber, M., Batchelor, M.T.: Spectrum of the biquadratic spin-1 antiferromagnetic chain. Phys. Rev. B 40, 4621 (1989)","journal-title":"Phys. Rev. B"},{"key":"648_CR19","doi-asserted-by":"crossref","unstructured":"Aufgebauer, B., Klumper, A.: Quantum spin chains of Temperley\u2013Lieb type: periodic boundary conditions, spectral multiplicities and finite temperature. J. Stat. Mech. 2010, P05018 (2010)","DOI":"10.1088\/1742-5468\/2010\/05\/P05018"},{"key":"648_CR20","first-page":"151","volume-title":"Braid Group, Knot Theroy and Statistical Mechanics","author":"Y Akutsu","year":"1989","unstructured":"Akutsu, Y., Deguchi, T., Wadati, M.: The Yang-Baxter relation: a new tool for knot theory. In: Yang, C.N., Ge, M.L. (eds.) Braid Group, Knot Theroy and Statistical Mechanics, p. 151. World Scientific Publ Co Ltd, Singapore (1989)"},{"key":"648_CR21","doi-asserted-by":"crossref","first-page":"195","DOI":"10.1007\/BF02096797","volume":"136","author":"Y Chen","year":"1991","unstructured":"Chen, Y., Ge, M.L., Xue, K.: Yang-Baxterization of braid group representations. Commun. Math. Phys. 136, 195 (1991)","journal-title":"Commun. Math. Phys."},{"key":"648_CR22","doi-asserted-by":"crossref","first-page":"201","DOI":"10.1016\/j.aop.2006.07.015","volume":"322","author":"E Ardonne","year":"2007","unstructured":"Ardonne, E., Schoutens, K.: Wavefunctions for topological quantum registers. Ann. Phys. (N.Y.) 322, 201 (2007)","journal-title":"Ann. Phys. (N.Y.)"},{"key":"648_CR23","doi-asserted-by":"crossref","first-page":"160409","DOI":"10.1103\/PhysRevLett.98.160409","volume":"98","author":"A Feiguin","year":"2007","unstructured":"Feiguin, A., Trebst, S., Ludwig, A.W.W., Troyer, M., Kitaev, A., Wang, Z.H., Freedman, M.H.: Interacting anyons in topological quantum liquids: the golden chain. Phys. Rev. Lett. 98, 160409 (2007)","journal-title":"Phys. Rev. Lett."},{"key":"648_CR24","doi-asserted-by":"crossref","first-page":"1083","DOI":"10.1103\/RevModPhys.80.1083","volume":"80","author":"C Nayak","year":"2008","unstructured":"Nayak, C., Simon, S.H., Stern, A., Freedman, M., Sarma, S.D.: Non-Abelian anyons and topological quantum computation. Rev. Mod. Phys. 80, 1083 (2008)","journal-title":"Rev. Mod. Phys."},{"key":"648_CR25","doi-asserted-by":"crossref","first-page":"1729","DOI":"10.1016\/j.aop.2007.10.002","volume":"323","author":"K Hikami","year":"2008","unstructured":"Hikami, K.: Skein theory and topological quantum registers: braiding matrices and topological entanglement entropy of non-Abelian quantum Hall states. Ann. Phys. (N.Y.) 323, 1729 (2008)","journal-title":"Ann. Phys. (N.Y.)"},{"key":"648_CR26","doi-asserted-by":"crossref","first-page":"1144","DOI":"10.1103\/PhysRevLett.48.1144","volume":"48","author":"F Wilczek","year":"1982","unstructured":"Wilczek, F.: Magnetic flux, angular momentum, and statistics. Phys. Rev. Lett. 48, 1144 (1982)","journal-title":"Phys. Rev. Lett."},{"key":"648_CR27","doi-asserted-by":"crossref","first-page":"362","DOI":"10.1016\/0550-3213(91)90407-O","volume":"360","author":"G Moore","year":"1991","unstructured":"Moore, G., Read, N.: Nonabelions in the fractional quantum Hall effect. Nucl. Phys. B 360, 362 (1991)","journal-title":"Nucl. Phys. B"},{"key":"648_CR28","doi-asserted-by":"crossref","first-page":"022319","DOI":"10.1103\/PhysRevA.78.022319","volume":"78","author":"SW Hu","year":"2008","unstructured":"Hu, S.W., Xue, K., Ge, M.L.: Optical simulation of the Yang\u2013Baxter equation. Phys. Rev. A 78, 022319 (2008)","journal-title":"Phys. Rev. A"},{"key":"648_CR29","unstructured":"Wang, G.C., Xue, K., Sun, C.F., Zhou, C.C., Du, G.J.: e-print arXiv:1012.1474v2"},{"key":"648_CR30","doi-asserted-by":"crossref","unstructured":"Marx, R., Fahmy, A., Kauffman, L., Lomonaco, S., Sp\u00f6rl, A., Pomplun, N., Schulte-Herbr\u00fcggen, T., Myers, J.M., Glaser, S.J.: Nuclear-magnetic-resonance quantum calculations of the Jones polynomial. Phys. Rev. A 81, 032319 (2009)","DOI":"10.1103\/PhysRevA.81.032319"},{"key":"648_CR31","doi-asserted-by":"crossref","first-page":"134","DOI":"10.1088\/1367-2630\/6\/1\/134","volume":"6","author":"LH Kauffman","year":"2004","unstructured":"Kauffman, L.H., Lomonaco Jr, S.J.: Braiding operators are universal quantum gates. New J. Phys. 6, 134 (2004)","journal-title":"New J. Phys."},{"key":"648_CR32","doi-asserted-by":"crossref","DOI":"10.1142\/1116","volume-title":"Knots in Physics","author":"LH Kauffman","year":"1991","unstructured":"Kauffman, L.H.: Knots in Physics. World Scientific, Singapore (1991)"},{"key":"648_CR33","doi-asserted-by":"crossref","first-page":"249","DOI":"10.1090\/S0002-9947-1989-0992598-X","volume":"313","author":"J Birman","year":"1989","unstructured":"Birman, J., Wenzl, H.: Braids, links and a new algebra. Trans. Am. Math. Soc. 313, 249 (1989)","journal-title":"Trans. Am. Math. Soc."},{"key":"648_CR34","doi-asserted-by":"crossref","first-page":"281","DOI":"10.1088\/0305-4470\/26\/2\/015","volume":"26","author":"ML Ge","year":"1993","unstructured":"Ge, M.L., Xue, K.: Trigonometric Yang-Baxterization of coloured R-matrix. J. Phys. A: Math. 26, 281\u2013291 (1993)","journal-title":"J. Phys. A: Math."}],"container-title":["Quantum Information Processing"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11128-013-0648-z.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s11128-013-0648-z\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11128-013-0648-z","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,7,30]],"date-time":"2019-07-30T20:15:44Z","timestamp":1564517744000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s11128-013-0648-z"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2013,10,19]]},"references-count":34,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2014,2]]}},"alternative-id":["648"],"URL":"https:\/\/doi.org\/10.1007\/s11128-013-0648-z","relation":{},"ISSN":["1570-0755","1573-1332"],"issn-type":[{"value":"1570-0755","type":"print"},{"value":"1573-1332","type":"electronic"}],"subject":[],"published":{"date-parts":[[2013,10,19]]}}}